The sum of a number and 5, less than 10, is 3.

Answers

Answer 1
Answer: The sum of a number and 5, less than 10, is 3 can be expressed as:

x + 5 - 10 = 3
where x is unknown number.

x + 5 = 3 + 10
x + 5 = 13
x = 13 - 5
x = 8

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Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
(x+) =

Answers

Answer: x = - 3.5

Step-by-step explanation:

Rewrite the equation by completing the square.

4x2 + 28x + 49 = 0

Completing the square method :

Divide through by the Coefficient of x^2

x^2 + 7x + (49/4) = 0

a = 1, b = 7, c = 49/4

Move c to the right side of the equation

x^2 + 7x = - 49/4

Complete the square on the left hand side by squaring its half of the x term

(7/2)^2 = (49/4)

Add the output to both sides of the equation

x^2 + 7x + (49/4) = - (49/4) + (49/4)

(x + 7/2)^2 = 0

Square root of both sides

x + 7/2 = 0

x = - 7/2

x = - 3.5

Answer:

x = - 3.5

Step-by-step explanation:

what is the exact value of sin 22.5 degrees using the sum, difference, half, or double angle formulas and the exact value chart in the solution.

Answers

cos 2x=1-2sin^2x \n cos 45^0=1-2sin^2(22,5)^0 \n ( √(2) )/(2) =1-2sin^2(22,5)^0 \to sin(22,5)^0= \frac{ \sqrt{2- √(2) } }{2}

What polynomial when divided by 2y^5 yields 4y^2-2y+9 as a quotient?

Answers

w(x):2y^5=4y^2-2y+9\Rightarrow w(x)=2y^5(4y^2-2y+9)\n\nw(x)=2y^5\cdot4y^2-2y^5\cdot2y+2y^5\cdot9\n\nw(x)=8y^7-4y^6+18y^5

Find the distance between points m(-4,6) and n(10,-5). round to the nearest tenth if necessary.

Answers

Use distance formula; d = √((x_1-x_2)^2 + (y_1 - y_2)^2)

You have x_1 = -4x_2 = 10y_1 = 6, and lastly y_2 = -5

Plug in these values;

d = √((-4-10)^2 + (6 - (-5))^2)
d = √((-14)^2 + (6 +5))^2)
d = √(14^2 + 11^2)
d = √(317)
d=17.8044938\ldots
d \approx \boxed{17.8}

5+ 10 + 6x 1/10 + 7x1000 in decimal form.

Answers

Remember order of operations.  Please (Parenthesis and brackets) Excuse (exponents) My (multiplication) Dear (Division) Aunt (Add) Sally (Subtract).  Also remember that multiplication and division as well as addition and subtraction should go from left to right. So if you were to do this problem first I'd convert the fraction 1/10 to a decimal.  That's like saying 1 in 10 or 10%.  So it should convert to .10 x 6 = 0.60 and don't forget to multiple 7 x1000 next. (Left to right).  7,000.  So it becomes 5+10+0.60+7,000 then add. 7,015.60 is your answer. 

What is the proportion of 7/5=k/18

Answers

the closes answer i got for k is 25.2
14/18 is the best answer